Example: barber
Wanner Engineering
Found 2 free book(s)Solving Differential Equations in R - The R Journal
journal.r-project.org2009;Hairer and Wanner,2010). The latter contains two important families, the Adams family and the backward differentiation formulae (BDF). Another important distinction is between explicit and implicit methods, where the latter methods can solve a particular class of equations (so-called “stiff” equations) where explicit methods have problems
Numerical Solution of Ordinary Differential Equations
people.maths.ox.ac.ukwhere ∂f/∂y denotes the m×mJacobi matrix of y ∈ Rm → f(x,y) ∈ Rm, and k · k is a matrix norm subordinate to the Euclidean vector norm on Rm.Indeed, when (7) holds, the Mean Value Theorem implies that (6) is also valid.